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Finding the Fourth Proportional to 411,166.50, 616,840.47 and 174,711.30

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Solution

The fourth proportional to 411,166.50, 616,840.47 and 174,711.30 is: 262,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,166.50 : 616,840.47 = 174,711.30 : x
  2. Step 2: Convert to fraction form
    411,166.50/616,840.47 = 174,711.30/x
  3. Step 3: Cross multiply
    411,166.50x = 616,840.47 × 174,711.30
  4. Step 4: Simplify right side
    411,166.50x = 107,769,000,406.31
  5. Step 5: Solve for x
    x = 107,769,000,406.31/411,166.50
  6. Step 6: Final answer
    x = 262,105.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.